Properties

Label 6240.bf
Number of curves $1$
Conductor $6240$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 6240.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6240.bf1 6240o1 \([0, 1, 0, -125, -597]\) \(-53157376/1755\) \(-7188480\) \([]\) \(1152\) \(0.090411\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6240.bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6240.bf do not have complex multiplication.

Modular form 6240.2.a.bf

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} + q^{9} + q^{11} - q^{13} + q^{15} - 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display